Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

Name: Solved: Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get? - MathMaster
Brand: MathMaster
Rating: 4.9 (245 reviews)

245

likes

1227 views

Answer to a math question Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

$Expert avatar$

Madelyn

4.7

86 Answers

Encontremos la longitud máxima de cada trozo que Juan puede obtener cortando las cuerdas en segmentos iguales. Longitudes de cuerda: Juan tiene dos cuerdas: una tiene 180 metros de largo y la otra 240 metros de largo. Máximo común divisor (MCD): para determinar la longitud máxima de cada pieza, calcularemos el máximo común divisor (MCD) de las longitudes de las cuerdas. El MCD representa la longitud más grande que divide uniformemente ambas cuerdas. Cálculo del MCD: El MCD de 180 y 240 es de 60 metros. Longitud Máxima de Cada Pieza: Juan puede cortar ambas cuerdas en trozos iguales de 60 metros cada uno. Numero de piezas: Para la cuerda de 180 metros, Juan obtendrá 3 trozos (180 ÷ 60 = 3). Para la cuerda de 240 metros, Juan obtendrá 4 trozos (240 ÷ 60 = 4). En resumen, Juan podrá obtener piezas de 60 metros cada una, y tendrá un total de 7 piezas (3 de la cuerda de 180 metros y 4 de la cuerda de 240 metros).

Frequently asked questions (FAQs)

What is the general form for the vertex of a parabola function (𝑦 = 𝑎𝑥^2)?

Question: Graph the exponential function f(x) = 2^(x-3) - 1. Identify the y-intercept and the x-intercept(s) if any exist.

Math question: What is the value of f(pi/2) for the tangent function f(x) = tan(x)?

New questions in Mathematics

431414-1*(11111-1)-4*(5*3)

58+861-87

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?

Suppose the horses in a large they will have a mean way of 818 pounds in a variance of 3481. What is the probability that the mean weight of the sample of horses with differ from the population mean by more than 18 pounds is 34 horses are sampled at random from the stable.

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)

(2x+5)^3+(x-3)(x+3)